What is the value of x in the solution to this system of equations? 4x+7y=85

x=2y−5

A. x = -9
B. x = 9
C. x = 8
D. x = 3

B

Step-by-step explanation:

I used substitution to solve this system. I'll run through all of my steps below:

I'm going to replace the 'x' values in the first equation with the entire second equation.

Now that we know what y equals, we can go back and solve for x.

Hope this helps!

25

step-by-step explanation:

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form